Answer: see in the explanation !
Step-by-step explanation:
QUESTION 1:
Facts:
"MATHEMATICS" has 11 letters.
The vowels are A, E, I, O, U, and sometimes Y.
Method: Find how many vowels are in "mathematics"
the vowels found in this word are a, e, and i. Hence, there are 3 vowels, and the probability of ANY vowel getting picked is 3/11.
QUESTION 2:
Facts:
24 pupils have 2+ books.
Method: Find the total number of students
probability: preferred outcomes/total number of outcomes
In this case, the "preferred outcomes" are the number of students with 2 or more books, and the "total outcome" is the total number of students. We are basically trying to find the number of students with 2+ books out of the total number of students there are.
"preferred outcomes": 24
"total outcomes": 42
Add up the numbers of students given in the chart to find the total. Just add the numbers in the right column, beacuse we are trying to find the # of students , so the 1st column is irrelevant .
24+14+4= 42
24/42= 4/7
Answer =D
QUESTION 3
Now the total number of students is 1,000. You may be thinking about the "total number of students" above , that is clearly different from this. BUT, here we are just using the probability we found in question 2 (4/7) to find the probability in this scenario .
Method 1: Proportion
4 x
__ = _____
7 1000
7x= 4000
x= about 571.4---> 571
Method 2: Percentage
4/7= 0.571428571---> about 57%
so if 57% of students have 2+ books, and 57% of 1,000 is 570, about 570 students have books. And since 570 is close to 571, technically speaking, both methods lead us to option A although the proportion method was more precise.
QUESTION 4:
The probability of students having no book, according to the table, is 2/21 because 4/42=2/21. Now, the total numbber of students is 1000, so we will solve a proportion again.
2 x
__= ___
21 1000
21x= 2000
x= about 95
Answer= B
QUESTION 5:
Facts:
coin is tossed 80 times.
heads: 46 times
tails: 34 times
probability of tails: 34/80 = 17/40
Answer: A
Hope this helps :)) Also brainliest would be appreciated, I stayed up pretty late working on this lol :)
